Lines Matching refs:du

2198 A_k du = -g_k
2201 to obtain a direction $du$. We need a direction that provides
2208 That is, we require $g_k^T A_k du < 0$.
2211 parameter $\rho_k$ so that $du$ is also a sufficient descent
2217 \displaystyle \min_{\alpha \geq 0} \; \tilde{f}_k(u_k + \alpha du, v_k).
2225 u_{k+\frac{1}{2}} & = & u_k + \alpha_k du \\
2238 $du = -A_k^T g_k$ during the search procedure. However, the
2258 \displaystyle \min_{du,dv} & \tilde{f}_k(u_k+du, v_k+dv) \\
2259 \text{subject to} & A_k du + B_k dv + \alpha_k g_k = 0
2266 du = -A_k^{-1}(B_k dv + \alpha_k g_k).
2328 du = -A_k^{-1} B_k dv.
2337 \displaystyle \min_{\beta \geq 0} & \tilde{f_k}(u_{k+\frac{1}{2}} + \beta du, v_{k+\frac{1}{2}} + \…
2346 u_{k+1} & = & u_{k+\frac{1}{2}} + \beta_k du \\